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Modeling In Engineering Using Innovative Numerical Methods For Solids And Fluids
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Book Synopsis Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids by : Laura De Lorenzis
Download or read book Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids written by Laura De Lorenzis and published by Springer Nature. This book was released on 2020-02-08 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book examines innovative numerical methods for computational solid and fluid mechanics that can be used to model complex problems in engineering. It also presents innovative and promising simulation methods, including the fundamentals of these methods, as well as advanced topics and complex applications. Further, the book explores how numerical simulations can significantly reduce the number of time-consuming and expensive experiments required, and can support engineering decisions by providing data that would be very difficult, if not impossible, to obtain experimentally. It also includes chapters covering topics such as particle methods addressing particle-based materials and numerical methods that are based on discrete element formulations; fictitious domain methods; phase field models; computational fluid dynamics based on modern finite volume schemes; hybridizable discontinuous Galerkin methods; and non-intrusive coupling methods for structural models.
Book Synopsis Numerical Modeling in Materials Science and Engineering by : Michel Rappaz
Download or read book Numerical Modeling in Materials Science and Engineering written by Michel Rappaz and published by Springer Science & Business Media. This book was released on 2010-03-11 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computing application to materials science is one of the fastest-growing research areas. This book introduces the concepts and methodologies related to the modeling of the complex phenomena occurring in materials processing. It is intended for undergraduate and graduate students in materials science and engineering, mechanical engineering and physics, and for engineering professionals or researchers.
Book Synopsis Efficient High-Order Discretizations for Computational Fluid Dynamics by : Martin Kronbichler
Download or read book Efficient High-Order Discretizations for Computational Fluid Dynamics written by Martin Kronbichler and published by Springer Nature. This book was released on 2021-01-04 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces modern high-order methods for computational fluid dynamics. As compared to low order finite volumes predominant in today's production codes, higher order discretizations significantly reduce dispersion errors, the main source of error in long-time simulations of flow at higher Reynolds numbers. A major goal of this book is to teach the basics of the discontinuous Galerkin (DG) method in terms of its finite volume and finite element ingredients. It also discusses the computational efficiency of high-order methods versus state-of-the-art low order methods in the finite difference context, given that accuracy requirements in engineering are often not overly strict. The book mainly addresses researchers and doctoral students in engineering, applied mathematics, physics and high-performance computing with a strong interest in the interdisciplinary aspects of computational fluid dynamics. It is also well-suited for practicing computational engineers who would like to gain an overview of discontinuous Galerkin methods, modern algorithmic realizations, and high-performance implementations.
Book Synopsis Computational Multiscale Modeling of Fluids and Solids by : Martin Oliver Steinhauser
Download or read book Computational Multiscale Modeling of Fluids and Solids written by Martin Oliver Steinhauser and published by Springer Nature. This book was released on 2022-07-28 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: The expanded 3rd edition of this established textbook offers an updated overview and review of the computational physics techniques used in materials modelling over different length and time scales. It describes in detail the theory and application of some of the most important methods used to simulate materials across the various levels of spatial and temporal resolution. Quantum mechanical methods such as the Hartree-Fock approximation for solving the Schrödinger equation at the smallest spatial resolution are discussed as well as the Molecular Dynamics and Monte-Carlo methods on the micro- and meso-scale up to macroscopic methods used predominantly in the Engineering world such as Finite Elements (FE) or Smoothed Particle Hydrodynamics (SPH). Extensively updated throughout, this new edition includes additional sections on polymer theory, statistical physics and continuum theory, the latter being the basis of FE methods and SPH. Each chapter now first provides an overview of the key topics covered, with a new “key points” section at the end. The book is aimed at beginning or advanced graduate students who want to enter the field of computational science on multi-scales. It provides an in-depth overview of the basic physical, mathematical and numerical principles for modelling solids and fluids on the micro-, meso-, and macro-scale. With a set of exercises, selected solutions and several case studies, it is a suitable book for students in physics, engineering, and materials science, and a practical reference resource for those already using materials modelling and computational methods in their research.
Book Synopsis The Finite Element Method for Fluid Dynamics by : Olek C Zienkiewicz
Download or read book The Finite Element Method for Fluid Dynamics written by Olek C Zienkiewicz and published by Butterworth-Heinemann. This book was released on 2013-11-21 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Finite Element Method for Fluid Dynamics offers a complete introduction the application of the finite element method to fluid mechanics. The book begins with a useful summary of all relevant partial differential equations before moving on to discuss convection stabilization procedures, steady and transient state equations, and numerical solution of fluid dynamic equations. The character-based split (CBS) scheme is introduced and discussed in detail, followed by thorough coverage of incompressible and compressible fluid dynamics, flow through porous media, shallow water flow, and the numerical treatment of long and short waves. Updated throughout, this new edition includes new chapters on: Fluid-structure interaction, including discussion of one-dimensional and multidimensional problems Biofluid dynamics, covering flow throughout the human arterial system Focusing on the core knowledge, mathematical and analytical tools needed for successful computational fluid dynamics (CFD), The Finite Element Method for Fluid Dynamics is the authoritative introduction of choice for graduate level students, researchers and professional engineers. A proven keystone reference in the library of any engineer needing to understand and apply the finite element method to fluid mechanics Founded by an influential pioneer in the field and updated in this seventh edition by leading academics who worked closely with Olgierd C. Zienkiewicz Features new chapters on fluid-structure interaction and biofluid dynamics, including coverage of one-dimensional flow in flexible pipes and challenges in modeling systemic arterial circulation
Book Synopsis Applications of Computational Fluid Dynamics and Finite Element Methods in Engineering Education by : Maher Al-Baghdadi
Download or read book Applications of Computational Fluid Dynamics and Finite Element Methods in Engineering Education written by Maher Al-Baghdadi and published by . This book was released on 2015-05-10 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historically only Analytical Fluid Dynamics (AFD) and Experimental Fluid Dynamics (EFD) have been taught at the undergraduate level but inclusion of Computational Fluid Dynamics (CFD), which is commonly used to refer to analysis of fluids, and Finite Element Methods (FEM), which is commonly used to refer to analysis of solid materials, are now possible and desirable with the advancing improvements of computer resources. CFD and FEM have now major components of professional life in engineering practice. In the areas of analysis and design, simulation based design is commonly used instead of the traditional "build and test", as it is much more cost effective than EFD and a substantial database is provided for diagnosing the adjacent flow field. Simulations can readily be done of physical phenomena that are difficult to measure, for example, full scale situations, environmental effects and hazards. With the introduction of CFD and FEM into an engineering curriculum, it is possible to educate the young engineer as to the pros and cons of using the three areas, AFD, EFD, CFD and FEM, and to be in a position to know which area to use according to the problem or project confronting them. Importantly, the engineer should learn not be prejudiced against using any of the three areas. So there is an increasing need to integrate computer-assisted learning and simulation, in the guise of CFD and FEM, into undergraduate engineering courses, both as a learning tool and as initial professional training.One of the efficient teaching tools is projects. They introduce the students to engineering problem solving skills and increase the students' interest in the subject of the course. Project-based learning (PBL) is an instructional model based on having students confront real-world issues and problems that they find meaningful, determine how to address them, and then act in a collaborative fashion to create problem solutions. In order to improve the engineering education, a pedagogical method that involves PBL, using CFD and FEM, should applied. The PBL works well for engineering education, since it prepares students for their later professional training.This book is the result of incorporation of CFD and FEM in engineering education. Its chapters are based on a number of final year engineering students projects of a former or current students, successfully completed under the supervision of the author. The author would like to thank the students for providing the projects that were presented in this book. Thanks to all students for their hard work.The book is intended to be a professional development resource book in PBL to teach undergraduate engineering students the CFD and FEM packages in a technical elective senior level course. The book is also intended to serve as a reference resource for the final year engineering students, new graduate students, and faculty.CONTENTS OF VOLUME 1Chapter 1: Introduction.Chapter 2: Three-Dimensional Computational Fluid Dynamics Model for Analysis and Design of PEM Fuel Cells.Chapter 3: CFD Analysis of the Clamping Pressure Distribution in Running PEM Fuel Cell.Chapter 4: CFD Study of Power Transistor Heat Sinks Using Different Patterns of Micro Pin Fins for Heat Transfer Enhancement.Chapter 5: Natural Vibration Analysis and Mode Shapes of a PEM Fuel Cell Stack.Chapter 6: CFD Study of a Power Transistor Heat Sink for Better Cooling.Chapter 7: CFD Modeling of Dust Transport and Dispersion through an Office.
Book Synopsis Computational Fluid and Solid Mechanics by : K.J. Bathe
Download or read book Computational Fluid and Solid Mechanics written by K.J. Bathe and published by Elsevier. This book was released on 2001-05-21 with total page 1768 pages. Available in PDF, EPUB and Kindle. Book excerpt: The MIT mission - "to bring together Industry and Academia and to nurture the next generation in computational mechanics is of great importance to reach the new level of mathematical modeling and numerical solution and to provide an exciting research environment for the next generation in computational mechanics." Mathematical modeling and numerical solution is today firmly established in science and engineering. Research conducted in almost all branches of scientific investigations and the design of systems in practically all disciplines of engineering can not be pursued effectively without, frequently, intensive analysis based on numerical computations. The world we live in has been classified by the human mind, for descriptive and analysis purposes, to consist of fluids and solids, continua and molecules; and the analyses of fluids and solids at the continuum and molecular scales have traditionally been pursued separately. Fundamentally, however, there are only molecules and particles for any material that interact on the microscopic and macroscopic scales. Therefore, to unify the analysis of physical systems and to reach a deeper understanding of the behavior of nature in scientific investigations, and of the behavior of designs in engineering endeavors, a new level of analysis is necessary. This new level of mathematical modeling and numerical solution does not merely involve the analysis of a single medium but must encompass the solution of multi-physics problems involving fluids, solids, and their interactions, involving multi-scale phenomena from the molecular to the macroscopic scales, and must include uncertainties in the given data and the solution results. Nature does not distinguish between fluids and solids and does not ever repeat itself exactly. This new level of analysis must also include, in engineering, the effective optimization of systems, and the modeling and analysis of complete life spans of engineering products, from design to fabrication, to possibly multiple repairs, to end of service.
Book Synopsis Mathematical Modeling and Numerical Methods in Chemical Physics and Mechanics by : Ali V. Aliev
Download or read book Mathematical Modeling and Numerical Methods in Chemical Physics and Mechanics written by Ali V. Aliev and published by CRC Press. This book was released on 2016-04-27 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of mathematical modeling in engineering allows for a significant reduction of material costs associated with design, production, and operation of technical objects, but it is important for an engineer to use the available computational approaches in modeling correctly. Taking into account the level of modern computer technology, this new volume explains how an engineer should properly define the physical and mathematical problem statement, choose the computational approach, and solve the problem by proven reliable computational approach using computer and software applications during the solution of a particular problem. This work is the result of years of the authors’ research and experience in the fields of power and rocket engineering where they put into practice the methods of mathematical modeling shown in this valuable volume. The examples in the book are based on two approaches. The first approach involves the use of the relatively simple mathematical system MathCad. The second one involves the solving of problems using Intel Visual Fortran compiler with IMSL Libraries. The use of other software packages (Maple, MathLab, Mathematica) or compilers (С, С++, Visual Basic) for code is equally acceptable in the solution of the problems given in the book. Intended for professors and instructors, scientific researchers, students, and industry professionals, the book will help readers to choose the most appropriate mathematical modeling method to solve engineering problems, and the authors also include methods that allow for the solving of nonmathematical problems as mathematical problems.
Book Synopsis Advanced Computational Materials Modeling by : Miguel Vaz Junior
Download or read book Advanced Computational Materials Modeling written by Miguel Vaz Junior and published by John Wiley & Sons. This book was released on 2011-09-22 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: With its discussion of strategies for modeling complex materials using new numerical techniques, mainly those based on the finite element method, this monograph covers a range of topics including computational plasticity, multi-scale formulations, optimization and parameter identification, damage mechanics and nonlinear finite elements.
Book Synopsis Numerical Modeling of Coupled Phenomena in Science and Engineering by : Mario César Suárez Arriaga
Download or read book Numerical Modeling of Coupled Phenomena in Science and Engineering written by Mario César Suárez Arriaga and published by CRC Press. This book was released on 2008-12-01 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is a universal language. Differential equations, mathematical modeling, numerical methods and computation form the underlying infrastructure of engineering and the sciences. In this context mathematical modeling is a very powerful tool for studying engineering problems, natural systems and human society. This interdisciplinary book cont
Book Synopsis The Mechanics of Solids and Structures - Hierarchical Modeling and the Finite Element Solution by : Miguel Luiz Bucalem
Download or read book The Mechanics of Solids and Structures - Hierarchical Modeling and the Finite Element Solution written by Miguel Luiz Bucalem and published by Springer. This book was released on 2011-01-16 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the recent decades, computational procedures have been applied to an increasing extent in engineering and the physical sciences. Mostly, two separate fields have been considered, namely, the analysis of solids and structures and the analysis of fluid flows. These continuous advances in analyses are of much interest to physicists, mathematicians and in particular, engineers. Also, computational fluid and solid mechanics are no longer treated as entirely separate fields of applications, but instead, coupled fluid and solid analysis is being pursued. The objective of the Book Series is to publish monographs, textbooks, and proceedings of conferences of archival value, on any subject of computational fluid dynamics, computational solid and structural mechanics, and computational multi-physics dynamics. The publications are written by and for physicists, mathematicians and engineers and are to emphasize the modeling, analysis and solution of problems in engineering.
Book Synopsis Variational Models and Methods in Solid and Fluid Mechanics by : Francesco dell'Isola
Download or read book Variational Models and Methods in Solid and Fluid Mechanics written by Francesco dell'Isola and published by Springer. This book was released on 2014-03-01 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: F. dell'Isola, L. Placidi: Variational principles are a powerful tool also for formulating field theories. - F. dell'Isola, P. Seppecher, A. Madeo: Beyond Euler-Cauchy Continua. The structure of contact actions in N-th gradient generalized continua: a generalization of the Cauchy tetrahedron argument. - B. Bourdin, G.A. Francfort: Fracture. - S. Gavrilyuk: Multiphase flow modeling via Hamilton's principle. - V. L. Berdichevsky: Introduction to stochastic variational problems. - A. Carcaterra: New concepts in damping generation and control: theoretical formulation and industrial applications. - F. dell'Isola, P. Seppecher, A. Madeo: Fluid shock wave generation at solid-material discontinuity surfaces in porous media. Variational methods give an efficient and elegant way to formulate and solve mathematical problems that are of interest to scientists and engineers. In this book three fundamental aspects of the variational formulation of mechanics will be presented: physical, mathematical and applicative ones. The first aspect concerns the investigation of the nature of real physical problems with the aim of finding the best variational formulation suitable to those problems. The second aspect is the study of the well-posedeness of those mathematical problems which need to be solved in order to draw previsions from the formulated models. And the third aspect is related to the direct application of variational analysis to solve real engineering problems.
Book Synopsis Numerical Simulation in Fluid Dynamics by : Michael Griebel
Download or read book Numerical Simulation in Fluid Dynamics written by Michael Griebel and published by SIAM. This book was released on 1998-01-01 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this translation of the German edition, the authors provide insight into the numerical simulation of fluid flow. Using a simple numerical method as an expository example, the individual steps of scientific computing are presented: the derivation of the mathematical model; the discretization of the model equations; the development of algorithms; parallelization; and visualization of the computed data. In addition to the treatment of the basic equations for modeling laminar, transient flow of viscous, incompressible fluids - the Navier-Stokes equations - the authors look at the simulation of free surface flows; energy and chemical transport; and turbulence. Readers are enabled to write their own flow simulation program from scratch. The variety of applications is shown in several simulation results, including 92 black-and-white and 18 color illustrations. After reading this book, readers should be able to understand more enhanced algorithms of computational fluid dynamics and apply their new knowledge to other scientific fields.
Book Synopsis Modeling and Simulation in Thermal and Fluids Engineering by : Krishnan Murugesan
Download or read book Modeling and Simulation in Thermal and Fluids Engineering written by Krishnan Murugesan and published by CRC Press. This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides explanation of conservation principles, the required fundamentals for modeling. Discusses numerical methods including finite difference, finite volume and finite element method in a single book. Examines incorporation of boundary conditions and the related computational algorithms. Discusses computational algorithms and explanation with simple coding. Presents step by step explanation of complete modeling and simulation programs.
Book Synopsis Numerical Methods and Modeling for Chemical Engineers by : Mark E. Davis
Download or read book Numerical Methods and Modeling for Chemical Engineers written by Mark E. Davis and published by Courier Corporation. This book was released on 2013-11-19 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text introduces the quantitative treatment of differential equations arising from modeling physical phenomena in chemical engineering. Coverage includes recent topics such as ODE-IVPs, emphasizing numerical methods and modeling of 1984-era commercial mathematical software.
Book Synopsis Mathematical Modelling in Solid Mechanics by : Francesco dell'Isola
Download or read book Mathematical Modelling in Solid Mechanics written by Francesco dell'Isola and published by Springer. This book was released on 2017-03-22 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents new research results in multidisciplinary fields of mathematical and numerical modelling in mechanics. The chapters treat the topics: mathematical modelling in solid, fluid and contact mechanics nonconvex variational analysis with emphasis to nonlinear solid and structural mechanics numerical modelling of problems with non-smooth constitutive laws, approximation of variational and hemivariational inequalities, numerical analysis of discrete schemes, numerical methods and the corresponding algorithms, applications to mechanical engineering numerical aspects of non-smooth mechanics, with emphasis on developing accurate and reliable computational tools mechanics of fibre-reinforced materials behaviour of elasto-plastic materials accounting for the microstructural defects definition of structural defects based on the differential geometry concepts or on the atomistic basis interaction between phase transformation and dislocations at nano-scale energetic arguments bifurcation and post-buckling analysis of elasto-plastic structures engineering optimization and design, global optimization and related algorithms The book presents selected papers presented at ETAMM 2016. It includes new and original results written by internationally recognized specialists.
Book Synopsis Riemann Solvers and Numerical Methods for Fluid Dynamics by : Eleuterio F. Toro
Download or read book Riemann Solvers and Numerical Methods for Fluid Dynamics written by Eleuterio F. Toro and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1917, the British scientist L. F. Richardson made the first reported attempt to predict the weather by solving partial differential equations numerically, by hand! It is generally accepted that Richardson's work, though unsuccess ful, marked the beginning of Computational Fluid Dynamics (CFD), a large branch of Scientific Computing today. His work had the four distinguishing characteristics of CFD: a PRACTICAL PROBLEM to solve, a MATHEMATICAL MODEL to represent the problem in the form of a set of partial differen tial equations, a NUMERICAL METHOD and a COMPUTER, human beings in Richardson's case. Eighty years on and these four elements remain the pillars of modern CFD. It is therefore not surprising that the generally accepted definition of CFD as the science of computing numerical solutions to Partial Differential or Integral Equations that are models for fluid flow phenomena, closely embodies Richardson's work. COMPUTERS have, since Richardson's era, developed to unprecedented levels and at an ever decreasing cost. PRACTICAL PROBLEMS to solved nu merically have increased dramatically. In addition to the traditional demands from Meteorology, Oceanography, some branches of Physics and from a range of Engineering Disciplines, there are at present fresh demands from a dynamic and fast-moving manufacturing industry, whose traditional build-test-fix approach is rapidly being replaced by the use of quantitative methods, at all levels. The need for new materials and for decision-making under envi ronmental constraints are increasing sources of demands for mathematical modelling, numerical algorithms and high-performance computing.
